NY Next Generation Math NY-5.NBT.7
The Standard
Using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between operations: • add and subtract decimals to hundredths; • multiply and divide decimals to hundredths.Relate the strategy to a written method and explain the reasoning used.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students add, subtract, multiply, and divide decimals to hundredths using models, drawings, and place-value strategies. They connect the representation to a written method and explain their reasoning.
What Mastery Looks Like
- The student aligns decimal places for addition and uses an area model for multiplication. For division, the student solves model-friendly problems such as 0.6 divided by 0.2 without relying on a complex algorithm.
Common Misconceptions
- Students may align decimal numbers by their final digits instead of place value. They may move decimal points by a rule without connecting the move to a model or operation meaning.
How to Assess It
- Ask students to model and solve 1.2 times 0.4 and 0.75 divided by 0.25. Require a matching written method and explanation.
Lesson moves
Ways to Teach It
Use hundred grids and base-ten blocks to model decimal operations before recording the matching written steps.
Ask students how place value explains the difference between 0.4 times 0.3 and 4 times 3.
Play decimal-method match with models, operation expressions, written steps, and solutions to hundredths.
Calculate prices, measured lengths, or equal decimal portions with models and labeled units.
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Printable NY-5.NBT.7 Worksheet
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- NY-2.NBT.7.a
Add and subtract within 1000, using concrete models or drawings, and strategies based on place value, properties of operations, and/or the relationship between ...
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- NY-2.NBT.5
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
- NY-1.NBT.6
Subtract multiples of 10 from multiples of 10 in the range 10-90 using concrete models or drawings, and strategies based on place value, properties of operation...
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